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16789880664 = 23331792271913
BaseRepresentation
bin11111010001100000…
…10011111101011000
31121100010010022101000
433220300103331120
5233341202140124
611414013225000
71133032426254
oct175060237530
947303108330
1016789880664
1171364a4937
123306a92160
13177760513b
14b53c25264
1568401e6c9
hex3e8c13f58

16789880664 has 128 divisors (see below), whose sum is σ = 47130336000. Its totient is φ = 5537947392.

The previous prime is 16789880659. The next prime is 16789880669. The reversal of 16789880664 is 46608898761.

It is an interprime number because it is at equal distance from previous prime (16789880659) and next prime (16789880669).

It is a super-2 number, since 2×167898806642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16789880669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8775772 + ... + 8777684.

It is an arithmetic number, because the mean of its divisors is an integer number (368205750).

Almost surely, 216789880664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16789880664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23565168000).

16789880664 is an abundant number, since it is smaller than the sum of its proper divisors (30340455336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16789880664 is a wasteful number, since it uses less digits than its factorization.

16789880664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 16789880664 in words is "sixteen billion, seven hundred eighty-nine million, eight hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 227 358 454 537 681 716 908 1074 1362 1432 1611 1816 1913 2043 2148 2724 3222 3826 4086 4296 4833 5448 5739 6129 6444 7652 8172 9666 11478 12258 12888 15304 16344 17217 19332 22956 24516 34434 38664 40633 45912 49032 51651 68868 81266 103302 121899 137736 162532 206604 243798 325064 342427 365697 413208 434251 487596 684854 731394 868502 975192 1027281 1097091 1302753 1369708 1462788 1737004 2054562 2194182 2605506 2739416 2925576 3081843 3474008 3908259 4109124 4388364 5211012 6163686 7816518 8218248 8776728 9245529 10422024 11724777 12327372 15633036 18491058 23449554 24654744 31266072 36982116 46899108 73964232 77730929 93798216 155461858 233192787 310923716 466385574 621847432 699578361 932771148 1399156722 1865542296 2098735083 2798313444 4197470166 5596626888 8394940332 16789880664